Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2966/283,6709/9292
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2966,6709
Greatest Common Factor of Numerators i.e. GCF of 2966,6709 is 1 .
LCM of Denominators means LCM of 283,9292 as per the given fractions.
LCM of 283,9292 is 2629636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2966,6709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2966
List of positive integer factors of 2966 that divides 2966 without a remainder.
1,2,1483,2966
Factors of 6709
List of positive integer factors of 6709 that divides 6709 without a remainder.
1,6709
Greatest Common Factor
We found the factors 2966,6709 . The biggest common factor number is the GCF number.
So the greatest common factor 2966,6709 is 1.
Lets's calculate LCM of 283,9292
Given numbers has no common factors except 1. So, there LCM is their product i.e 2629636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2629636
Therefore, the GCF of Fractions 2966/283,6709/9292 is 1/2629636
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 283,9292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,9292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,9292) x common factors =1 x 1 = 1
LCM(283,9292) = ( 283 × 9292 ) / 1
LCM(283,9292) = 2629636 / 1
LCM(283,9292) = 2629636
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2966/283, 6709/9292?
Answer: GCF of Numerators as per given numbers 2966/283, 6709/9292 is
GCF of Numerators i.e. for 2966,6709 is 1
LCM of denominators i.e. for 283,9292 is 2629636.
Thus, GCF of Fractions is 1/2629636.Finally, GCF of Fractions for 2966/283, 6709/9292 is 1/2629636.